MinT - Best Known (25, 37, s)-Nets in Base 2

Best Known (25, 37, s)-Nets in Base 2

(25, 37, 46)-Net over F₂ — Constructive and digital

Digital (25, 37, 46)-net over F₂, using

(u,Â u+v)-construction [i] based on
1. digital (6, 12, 21)-net over F₂, using
  - linear code embedding found in a computer search [i]
2. digital (13, 25, 25)-net over F₂, using
  - a shift-net [i]

(25, 37, 206)-Net in Base 2 — Upper bound on s

There is no (25, 37, 207)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 138552 619759 > 2³⁷ [i]